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A non-local one-phase free boundary problem from obstacle to cavitation
PDE and Applied Math Seminar| Speaker: | Yijing Wu, UT Austin |
| Related Webpage: | https://web.ma.utexas.edu/users/yijingwu/ |
| Location: | 2112 MSB |
| Start time: | Fri, Jan 18 2019, 4:10PM |
Properties of a non-local free boundary problem which is an intermediate case of thin obstacle problem and fractional cavitation problem will be discussed. I will prove the blow-up profiles is homogeneous by a Weiss type monotonicity formula, and the flatness condition of the free boundary implies C^{1,\theta} regularity.